• Chinese Optics Letters
  • Vol. 14, Issue 12, 121102 (2016)
Hao Yang1、*, Baosheng Zhao2, Qiurong Yan3, and Yong’an Liu2
Author Affiliations
  • 1Shaanxi Key Laboratory of Optical Information Technology, School of Science, Northwestern Polytechnical University, Xi’an 710072, China
  • 2State Key Laboratory of Transient Optics and Photonics, Xi’an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi’an 710119, China
  • 3Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China
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    DOI: 10.3788/COL201614.121102 Cite this Article Set citation alerts
    Hao Yang, Baosheng Zhao, Qiurong Yan, Yong’an Liu. Modeling the encoding structure and spatial resolution of photon counting imagers with Vernier anode readout[J]. Chinese Optics Letters, 2016, 14(12): 121102 Copy Citation Text show less

    Abstract

    We present the spatial resolution estimation methods for a photon counting system with a Vernier anode. A limiting resolution model is provided according to discussions of surface encoding structure and quantized noise. The limiting resolution of a Vernier anode is revealed to be significantly higher than that of a microchannel plate. The relationship between the actual spatial resolution and equivalent noise charge of a detector is established by noise analysis and photon position reconstruction. The theoretical results are demonstrated to be in good agreement with the experimental results for a 1.2 mm pitch Vernier anode.
    li(x0,y)=N9[1+sin(θ0(x0,y0)+iφ)],(1)

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    φ=2Nπ/λc,(2)

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    Si(j)=0Dili(j)(x,y)dx,(3)

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    ΔSeleci=nnΔli(x0,y0+iN)·Di,(4)

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    ΔSelec=ND|cosθ0(x0,y0)|Δθ9[1+2i=1ncosθicos(iφ)].(5)

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    k=SelecQelec=1σ0,(6)

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    ΔQth=cfVr2MA,(7)

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    Δθth=93kcfVr·f(θ0)2MNDA·g(n),g(n)=1+2i=1ncosθicos(iφ).(8)

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    ΔXth=2LΔθth2mπ,(9)

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    ΔXthtotal=(ΔXth)2+(ΔXthMCP)2.(10)

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    ENC=(ENC)E2+(ENC)P2,(11)

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    FWHM3.9LΔQmGq,(12)

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    Hao Yang, Baosheng Zhao, Qiurong Yan, Yong’an Liu. Modeling the encoding structure and spatial resolution of photon counting imagers with Vernier anode readout[J]. Chinese Optics Letters, 2016, 14(12): 121102
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